What are the four algebraic processes. Define each process and provide example please.

1. Simplify

[(x

The right side requires simplification in that we need to combine like terms.

[(x

[(x

[(x

It is now simplified.

^{2}+2x-3)]/[(x+3)(x-3)]=10+y^{2}+2y-4y+8-2y^{2}The right side requires simplification in that we need to combine like terms.

[(x

^{2}+2x-3)]/[(x+3)(x-3)]=10 + y^{2 }+ 2y - 4y +8 - 2y^{2}[(x

^{2}+2x-3)]/[(x+3)(x-3)]=(-2y^{2}+y^{2})+(2y-4y)+(10+8)[(x

^{2}+2x-3)]/[(x+3)(x-3)]= - y^{2 }- 4y + 18It is now simplified.

2. Factor

The numerator (x

[(x+3)(x-1)]/[(x+3)(x-3)]=-y

[(x+3)(x-1)]/[(x+3)(x-3)]=-y

(x-1)/(x-3)=-y

It is now factored.

^{2}+ 2x - 3) of the left side can be factored...[(x+3)(x-1)]/[(x+3)(x-3)]=-y

^{2}-4y+18[(x+3)(x-1)]/[(x+3)(x-3)]=-y

^{2}-4y+18 [The (x+3) on the numerator and the denominator cancel each other out.](x-1)/(x-3)=-y

^{2}-4y+18It is now factored.

3. Evaluate

We can evaluate the fact that in its original form, the domain can include all integers except -3 and 3.

In its current form, the domain can include all integers except 3.

In its current form, the domain can include all integers except 3.

4. Solve

Graph the results.

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